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  1. NTU Theses and Dissertations Repository
  2. 工學院
  3. 應用力學研究所
請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/63644
完整後設資料紀錄
DC 欄位值語言
dc.contributor.advisor陳國慶
dc.contributor.authorWen-Chin Lien
dc.contributor.author李文欽zh_TW
dc.date.accessioned2021-06-16T17:15:33Z-
dc.date.available2017-08-20
dc.date.copyright2012-08-20
dc.date.issued2012
dc.date.submitted2012-08-17
dc.identifier.citation[1] S.S. Hsiau and S. Pan, 'Motion state transitions in a vibrated granular bed,' Powder Technology, vol. 96, pp. 219-226, 1998.
[2] O. Sano, 'Dilatancy, buckling, and undulations on a vertically vibrating granular layer,' Physical Review E, vol. 72, p. 51302, 2005.
[3] A. Ugawa and O. Sano, 'Undulations of a thin granular layer induced by vertical vibration,' Journal Physical Society of Japan, vol. 72, pp. 1390-1395, 2003.
[4] J. Eggers, 'Sand as Maxwell's demon,' Physical Review Letters, vol. 83, pp. 5322-5325, 1999.
[5] K. Weele, D. Meer, M. Versluis, and D. Lohse, 'Hysteretic clustering in granular gas,' EPL (Europhysics Letters), vol. 53, p. 328, 2001.
[6] T. Shinbrot and F. Muzzio, 'Noise to order,' Nature, vol. 410, pp. 251-258, 2001.
[7] D. van der Meer, K. van der Weele, and D. Lohse, 'Bifurcation diagram for compartmentalized granular gases,' Physical Review E, vol. 63, p. 61304, 2001.
[8] K.C. Chen, C.C. Li, C.H. Lin and G.H. Guo, 'Clustering and phases of compartmentalized granular gases,' Physical Review E, vol. 79, p. 21307, 2009.
[9] K. Van Der Weele, G. Kanellopoulos, C. Tsiavos and D.Van Der Meer, 'Transient granular shock waves and upstream motion on a staircase,' Physical Review E, vol. 80, p. 011305, 2009.
[10] A. S. L. J. C. Maxwell, and A. F. Rex 'Maxwells Demon: Entropy,' 1871.
[11] M. Hopkins and M. Louge, 'Inelastic microstructure in rapid granular flows of smooth disks,' Physics of Fluids A: Fluid Dynamics, vol. 3, p. 47, 1991.
[12] H. Schlichting and V. Nordmeier, 'Strukturen im Sand,' Math. Naturwiss. Unterr, vol. 49, pp. 323-332, 1996.
[13] I. Goldhirsch and G. Zanetti, 'Clustering instability in dissipative gases,' Physical Review Letters, vol. 70, pp. 1619-1622, 1993.
[14] A. Rosato, K. Strandburg, F. Prinz and R. Swendsen, 'Why the Brazil nuts are on top: Size segregation of particulate matter by shaking,' Physical Review Letters, vol. 58, pp. 1038-1040, 1987.
[15] D. Hong, P. Quinn and S. Luding, 'Reverse brazil nut problem: Competition between percolation and condensation,' Physical Review Letters, vol. 86, pp. 3423-3426, 2001.
[16] L. Golick and K. Daniels, 'Mixing and segregation rates in sheared granular materials,' Physical Review E, vol. 80, p. 42301, 2009.
[17] K. Feitosa and N. Menon, 'Breakdown of energy Equipartition in a 2D Binary Vibrated Granular Gas ,' Physical Review Letters, vol. 88, p. 198301, 2002.
[18] R. Mikkelsen, D. Van Der Meer, K. Van Der Weele, and D. Lohse, 'Competitive clustering in a bidisperse granular gas,' Physical Review Letters, vol. 89, p. 214301, 2002.
[19] R. Mikkelsen, D. van der Meer, K. van der Weele, and D. Lohse, 'Competitive clustering in a bidisperse granular gas: Experiment, molecular dynamics, and flux model,' Physical Review E, vol. 70, p. 61307, 2004.
[20] 謝萬霖, '侵入者對於顆粒氣體臨界聚集溫度之討論,' 國立台灣大學應用力學研究所碩士論文, 2010.
[21] 李家杰, '顆粒振盪臨界現象之探討,' 國立台灣大學應用力學研究所碩士論文, 2008.
[22] D. Van Der Meer, K. Van Der Weele, and D. Lohse, 'Sudden collapse of a granular cluster,' Physical Review Letters, vol. 88, p. 174302, 2002.
[23] K.C. Chen, W.L. Lin and C.H. Hao , 'Intruder-induce change in condensation temperature of granular gases', Physical Review E, vol. 83, p. 021303, 2011.
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/63644-
dc.description.abstract顆粒氣體受到外界給予適當的輸入能量後,將會有聚集的現象發生,而聚集源自於顆粒與顆粒之間的非彈性碰撞,為了量化此現象吾人藉由顆粒溫度來定義。若將侵入顆粒加入單種顆粒系統中,將造成系統凝聚溫度的改變,除此之外,改變系統隔板高度也會造成聚集時顆粒溫度的改變,由此得知這兩個系統存在一個等效的關係。為了找出這兩個系統等效的關係並加以量化,將利用兩格容器系統
來探討加入侵入顆粒與改變格板高度改變對於系統顆粒分佈的影響,並以系統顆粒分佈來進行等效的動作,此等效關係式稱為等效隔板高度。
由先前得到的等效概念得知,侵入顆粒能使顆粒氣體在多格樓梯型系統中產生驅趕與抑制行為,當加入侵入顆粒為重顆粒時會使系統產生驅趕的行為,輕顆粒則會造成系統發生抑制的行為,則系統中的顆粒能從位能最低被驅趕至位能最高的區間並且達到聚集(區間數目達到總顆粒數目的百分之八十)。而此機制將可以應用在藥物輸送、純化、半導體製程與工業中懸浮雜質去除過程。
zh_TW
dc.description.abstractWhen the granular gas system receives appropriate input energy, it will appear clustering phenomenon. This origin of phenomenon comes from inelastic collisions between particles and particles. We use the temperature of granular gases to define this phenomenon in order to quantify clustering. If (i) an intruder is added into a mono-disperse gas, it will cause the change of clustering phenomenon temperature. In addition, (ii) changing the system barrier height can also lead to the change of particle clustering phenomenon temperature. Therefore, between (i) and (ii) systems there is an equivalent relationship.
In order to identify and quantify the equivalent relationship, the two-compartment system was used to explore the effects of different parameters (i)、(ii) on particle distribution of the system. The system particle distribution was used as a standard to search for the equivalent, and this equivalent can be constructed by proposing the ideal of the equivalent barrier height.
When an intruder is inserted into a granular gas in the staircase system, the driven and suppressed behavior can be observed. The particles of granular gas in the staircase system will be driven as we add few heavy intruders into the system, and will be suppressed when several light intruders were added. Therefore, particles in the system from the compartment with a lower potential energy were driven to the compartment with a higher potential energy cluster (proportion 80%). This behavior could be applied to drug delivery, purification, semiconductor process and the suspended impurities of industrial removable process.
en
dc.description.provenanceMade available in DSpace on 2021-06-16T17:15:33Z (GMT). No. of bitstreams: 1
ntu-101-R99543050-1.pdf: 8279536 bytes, checksum: 01bdd5109b5b02e3b5ecc75ce039da33 (MD5)
Previous issue date: 2012
en
dc.description.tableofcontents致謝 II
中文摘要 III
ABSTRACT IV
目錄 V
圖目錄 VII
表目錄 XIV
第一章、緒論 1
1.1前言 1
1.2研究動機 1
1.3論文與實驗架構 2
第二章 文獻回顧 3
2.1顆粒氣體聚集現象 3
2.2馬克士威惡魔實驗與 4
2.3 EGGERS 通量模型 5
2.4 顆粒分離 9
2.5不同顆粒溫度共存 12
2.6混和顆粒氣體於兩格系統中的競爭聚集 14
2.7顆粒溫度 17
2.8在樓梯模型中顆粒瞬間產生衝擊波導致向上逆流現象 21
2.9侵入顆粒對於顆粒系統之凝聚溫度影響 24
第三章、實驗架設 28
3.1實驗儀器 29
3.2振動系統 29
3.3量測系統 32
3. 3實驗材料 33
第四章、侵入顆粒與底板高度對於兩格顆粒容器系統的影響 35
4.1改變格板高度對於單種顆粒系統凝聚溫度影響 35
4.2侵入顆粒對於不同容器格板高度之凝聚溫度的影響 40
4.3加入侵入顆粒與改變底板高度對於兩格對稱系統的影響 47
4.4等效隔板高度實驗與討論 61
第五章、顆粒材料的驅動與抑制 73
5.1三格容器中顆粒材料的驅動與抑制 73
5.2五格容器中顆粒材料的驅動與抑制 80
5.3七格容器中顆粒材料的驅動與抑制 98
第六章、結論與未來展望 101
6.1結論 101
6.2未來展望 103
dc.language.isozh-TW
dc.subject凝聚溫度zh_TW
dc.subject等效高度zh_TW
dc.subject侵入顆粒zh_TW
dc.subject顆粒氣體zh_TW
dc.subjectgranular gasen
dc.subjectcondensation temperatureen
dc.subjectintruderen
dc.subjectequivalent barrier heighten
dc.title藉由侵入顆粒使階梯型顆粒氣體系統產生驅動與抑制行為zh_TW
dc.titleGranular Gases in the Staircase Systems: Driven and Suppressed by Intruders.en
dc.typeThesis
dc.date.schoolyear100-2
dc.description.degree碩士
dc.contributor.oralexamcommittee戴義欽,郭志禹,林祺皓
dc.subject.keyword顆粒氣體,凝聚溫度,侵入顆粒,等效高度,zh_TW
dc.subject.keywordgranular gas,condensation temperature,intruder,equivalent barrier height,en
dc.relation.page106
dc.rights.note有償授權
dc.date.accepted2012-08-19
dc.contributor.author-college工學院zh_TW
dc.contributor.author-dept應用力學研究所zh_TW
顯示於系所單位:應用力學研究所

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